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Finding the Third Proportional to 125,322.19 and 270,619.31

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Solution

The third proportional to 125,322.19 and 270,619.31 is: 584,372.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,322.19 : 270,619.31 = 270,619.31 : x
  2. Step 2: Convert to fraction form
    125,322.19/270,619.31 = 270,619.31/x
  3. Step 3: Cross multiply
    125,322.19x = 270,619.31 × 270,619.31
  4. Step 4: Simplify right side
    125,322.19x = 73,234,812,297.97
  5. Step 5: Solve for x
    x = 73,234,812,297.97/125,322.19
  6. Step 6: Final answer
    x = 584,372.28

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.